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20112022
most citedTwo-dimensional topological quantum walks in the momentum space of structured light

86 citations · 275 across the 24 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.QA2018★ 4 cited

Coisotropic Triples, Reduction and Classical Limit

Marvin Dippell, Chiara Esposito, Stefan Waldmann

Coisotropic reduction from Poisson geometry and deformation quantization is cast into a general and unifying algebraic framework: we introduce the notion of coisotropic triples of…

math.QA2018★ 2 cited

A proof of Tsygan's formality conjecture for Hamiltonian actions

Chiara Esposito, Niek de Kleijn, Jonas Schnitzer

In this short note we prove an equivariant version of the formality of multidiffirential operators for a proper Lie group action. More precisely, we show that the equivariant Hochs…

quant-ph2018★ 86 cited

Two-dimensional topological quantum walks in the momentum space of structured light

Alessio D'Errico, Filippo Cardano, Maria Maffei +7

Quantum walks are powerful tools for quantum applications and for designing topological systems. Although they are simulated in a variety of platforms, genuine two-dimensional real…

math.QA2018★ 4 cited

Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits

Chiara Esposito, Philipp Schmitt, Stefan Waldmann

In this paper we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have be…

math.QA2018

Quantization of Hamiltonian coactions via twist

Pierre Bieliavsky, Chiara Esposito, Ryszard Nest

In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with Drinfel'd twist structure (resp., 2-cocycles). First, we define a classical Hami…

math.QA2018★ 2 cited

-resolutions and twisting in the curved context

Chiara Esposito, Niek de Kleijn

In this short note we describe an alternative global version of the twisting procedure used by Dolgushev to prove formality theorems. This allows us to describe the maps of Fedosov…